Qualitative Analysis of Nonsmooth Dynamics

Written By Alain Léger
Qualitative Analysis of Nonsmooth Dynamics
  • Publsiher : Elsevier
  • Release : 26 April 2016
  • ISBN : 0081012012
  • Pages : 222 pages
  • Rating : /5 from reviews
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Download or read book entitled Qualitative Analysis of Nonsmooth Dynamics by author: Alain Léger which was release on 26 April 2016 and published by Elsevier with total page 222 pages . This book available in PDF, EPUB and Kindle Format. Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems. By analyzing these non-regularities successively this work explores the set of equilibria and properties of periodic solutions of elementary mechanical systems, where no classical results issued from the theory of ordinary differential equations are readily available, such as stability, continuation or approximation of solutions. The authors focus on unilateral contact in presence of Coulomb friction and show, in particular, how any regularization would greatly simplify the mathematics but lead to unacceptable physical responses. Explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems Includes theoretical results concerning the full investigation of the behavior under constant or oscillating loadings, even in the case of the simplest mechanical systems Provides a focus on unilateral contact in presence of Coulomb friction Helps you gain an accurate understanding of how the transition occurs to ensure the safe use of any machine involving rotating or sliding mechanisms

Qualitative Analysis of Nonsmooth Dynamics

Qualitative Analysis of Nonsmooth Dynamics
  • Author : Alain Léger,Elaine Pratt
  • Publisher : Elsevier
  • Release Date : 2016-04-26
  • Total pages : 222
  • ISBN : 0081012012
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Summary : Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems. By analyzing these non-regularities successively this work explores the set of equilibria and ...

Qualitative Analysis of Nonsmooth Dynamics

Qualitative Analysis of Nonsmooth Dynamics
  • Author : Alain Léger,Elaine Pratt
  • Publisher : Unknown
  • Release Date : 2016-04-04
  • Total pages : 222
  • ISBN : 0081012012
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Summary : Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems. By analyzing these non-regularities successively this work explores the set of equilibria and ...

Poincar Andronov Melnikov Analysis for Non Smooth Systems

Poincar   Andronov Melnikov Analysis for Non Smooth Systems
  • Author : Michal Fečkan,Michal Pospíšil
  • Publisher : Academic Press
  • Release Date : 2016-06-07
  • Total pages : 260
  • ISBN : 0081012012
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Summary : Poincaré-Andronov-Melnikov Analysis for Non-Smooth Systems is devoted to the study of bifurcations of periodic solutions for general n-dimensional discontinuous systems. The authors study these systems under assumptions of transversal intersections with discontinuity-switching boundaries. Furthermore, bifurcations of periodic sliding solutions are studied from sliding periodic solutions of unperturbed discontinuous equations, ...

Stability and Convergence of Mechanical Systems with Unilateral Constraints

Stability and Convergence of Mechanical Systems with Unilateral Constraints
  • Author : Remco I. Leine,Nathan van de Wouw
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-12-29
  • Total pages : 236
  • ISBN : 0081012012
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Summary : While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, impact and friction. Such unilateral constraints give rise to non-smooth dynamical models for which stability theory is developed in this work. ...

Advanced Topics in Nonsmooth Dynamics

Advanced Topics in Nonsmooth Dynamics
  • Author : Remco Leine,Vincent Acary,Olivier Brüls
  • Publisher : Springer
  • Release Date : 2018-06-07
  • Total pages : 457
  • ISBN : 0081012012
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Summary : This book discusses emerging topics in the area of nonsmooth dynamics research, such as numerical methods for nonsmooth systems, impact laws for multi-collisions, nonlinear vibrations and control of nonsmooth systems. It documents original work of researchers at the European Network for NonSmooth Dynamics (ENNSD), which provides a cooperation platform for ...

Ergodic Theory Analysis and Efficient Simulation of Dynamical Systems

Ergodic Theory  Analysis  and Efficient Simulation of Dynamical Systems
  • Author : Bernold Fiedler
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 820
  • ISBN : 0081012012
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Summary : Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and dendrite growth to quantum chaos, conveying their significance far into the neighboring disciplines of science....

A Smooth and Discontinuous Oscillator

A Smooth and Discontinuous Oscillator
  • Author : Qingjie Cao,Alain Léger
  • Publisher : Springer
  • Release Date : 2016-09-27
  • Total pages : 262
  • ISBN : 0081012012
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Summary : This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and discontinuous system and opening a new branch of applied mathematics. The discovery of the smooth and discontinuous (SD) oscillator and the SD attractors discussed in this book represents a further ...

Modeling with Nonsmooth Dynamics

Modeling with Nonsmooth Dynamics
  • Author : Mike R. Jeffrey
  • Publisher : Springer Nature
  • Release Date : 2020-02-22
  • Total pages : 104
  • ISBN : 0081012012
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Summary : This volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a ‘non-smooth’ definition. A review of current ideas and introduction to key methods is given, with a view to opening ...

Dynamics and Bifurcations of Non Smooth Mechanical Systems

Dynamics and Bifurcations of Non Smooth Mechanical Systems
  • Author : Remco I. Leine,Henk Nijmeijer
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-19
  • Total pages : 236
  • ISBN : 0081012012
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Summary : This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-smooth mechanical systems using techniques from both fields. The book reviews recent developments, and opens the field to the nonlinear dynamics community. This book addresses researchers and graduate ...

Multibody Dynamics with Unilateral Contacts

Multibody Dynamics with Unilateral Contacts
  • Author : Friedrich Pfeiffer,Christoph Glocker
  • Publisher : Springer Science & Business Media
  • Release Date : 2000-11-10
  • Total pages : 262
  • ISBN : 0081012012
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Summary : The volume introduces basic concepts necessary for a modern treatment of inequality problems in finite degree of freedom dynamics. Tools from convex analysis, by now well established in non-smooth mechanics, are used to formulate the constitutive equations and impact laws. The lectures cover a broad area of non-smooth dynamics from ...

Mathematics and the 21st Century

Mathematics and the 21st Century
  • Author : A. A. Ashour,A. -S. F. Obada
  • Publisher : World Scientific
  • Release Date : 2001
  • Total pages : 398
  • ISBN : 0081012012
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Summary : http://www.worldscientific.com/worldscibooks/10.1142/4633...

Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities

Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities
  • Author : Marian Wiercigroch,Bram de Kraker
  • Publisher : World Scientific
  • Release Date : 2000-04-28
  • Total pages : 464
  • ISBN : 0081012012
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Summary : Rapid developments in nonlinear dynamics and chaos theory have led to publication of many valuable monographs and books. However, most of these texts are devoted to the classical nonlinear dynamics systems, for example the Duffing or van der Pol oscillators, and either neglect or refer only briefly to systems with ...

Modeling Analysis And Control Of Dynamical Systems With Friction And Impacts

Modeling  Analysis And Control Of Dynamical Systems With Friction And Impacts
  • Author : Olejnik Pawel,Feckan Michal,Awrejcewicz Jan
  • Publisher : #N/A
  • Release Date : 2017-07-07
  • Total pages : 276
  • ISBN : 0081012012
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Summary : This book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts. It fills a gap in the existing literature by offering an original contribution to the field of discontinuous mechanical systems based on mathematical and numerical modeling as ...

Singularity and Dynamics on Discontinuous Vector Fields

Singularity and Dynamics on Discontinuous Vector Fields
  • Author : Albert C.J. Luo
  • Publisher : Elsevier
  • Release Date : 2006-07-07
  • Total pages : 310
  • ISBN : 0081012012
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Summary : This book discussed fundamental problems in dynamics, which extensively exist in engineering, natural and social sciences. The book presented a basic theory for the interactions among many dynamical systems and for a system whose motions are constrained naturally or artificially. The methodology and techniques presented in this book are applicable ...

Nonsmooth Mechanics

Nonsmooth Mechanics
  • Author : Bernard Brogliato
  • Publisher : Springer
  • Release Date : 2016-02-29
  • Total pages : 628
  • ISBN : 0081012012
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Summary : Now in its third edition, this standard reference is a comprehensive treatment of nonsmooth mechanical systems refocused to give more prominence to issues connected with control and modelling. It covers Lagrangian and Newton–Euler systems, detailing mathematical tools such as convex analysis and complementarity theory. The ways in which nonsmooth ...